Character Table for Point Group D81d

Character table for the D_81d point group

D81d E 2 C81 2 C81^2 2 C27 2 C81^4 2 C81^5 2 C27^2 2 C81^7 2 C81^8 2 C9 2 C81^10 2 C81^11 2 C27^4 2 C81^13 2 C81^14 2 C27^5 2 C81^16 2 C81^17 2 C9^2 2 C81^19 2 C81^20 2 C27^7 2 C81^22 2 C81^23 2 C27^8 2 C81^25 2 C81^26 2 C3 2 C81^28 2 C81^29 2 C27^10 2 C81^31 2 C81^32 2 C27^11 2 C81^34 2 C81^35 2 C9^4 2 C81^37 2 C81^38 2 C27^13 2 C81^40 81 C2' i 2 S162 2 S54 2 S162^5 2 S162^7 2 S18 2 S162^11 2 S162^13 2 S54^5 2 S162^17 2 S162^19 2 S54^7 2 S162^23 2 S162^25 2 S6 2 S162^29 2 S162^31 2 S54^11 2 S162^35 2 S162^37 2 S54^13 2 S162^41 2 S162^43 2 S18^5 2 S162^47 2 S162^49 2 S54^17 2 S162^53 2 S162^55 2 S54^19 2 S162^59 2 S162^61 2 S18^7 2 S162^65 2 S162^67 2 S54^23 2 S162^71 2 S162^73 2 S54^25 2 S162^77 2 S162^79 81 sd <R> <p> <—d—> <——f——> <———g———> <————h————> <—————i—————> A1g 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 ... ... ....T ....... ........T ........... ............T A2g 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 -1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 -1.00000 ..T ... ..... ....... ......... ........... ............. E1g 2.00000 1.99399 1.97598 1.94609 1.90450 1.85145 1.78727 1.71233 1.62710 1.53209 1.42786 1.31504 1.19432 1.06641 0.93209 0.79216 0.64747 0.49888 0.34730 0.19362 0.03878 -0.11629 -0.27066 -0.42341 -0.57361 -0.72036 -0.86277 -1.00000 -1.13121 -1.25562 -1.37248 -1.48109 -1.58079 -1.67098 -1.75112 -1.82073 -1.87939 -1.92674 -1.96251 -1.98648 -1.99850 0.00000 2.00000 -1.99850 -1.98648 -1.96251 -1.92674 -1.87939 -1.82073 -1.75112 -1.67098 -1.58079 -1.48109 -1.37248 -1.25562 -1.13121 -1.00000 -0.86277 -0.72036 -0.57361 -0.42341 -0.27066 -0.11629 0.03878 0.19362 0.34730 0.49888 0.64747 0.79216 0.93209 1.06641 1.19432 1.31504 1.42786 1.53209 1.62710 1.71233 1.78727 1.85145 1.90450 1.94609 1.97598 1.99399 0.00000 TT. ... ..TT. ....... ......TT. ........... ..........TT. E2g 2.00000 1.97598 1.90450 1.78727 1.62710 1.42786 1.19432 0.93209 0.64747 0.34730 0.03878 -0.27066 -0.57361 -0.86277 -1.13121 -1.37248 -1.58079 -1.75112 -1.87939 -1.96251 -1.99850 -1.98648 -1.92674 -1.82073 -1.67098 -1.48109 -1.25562 -1.00000 -0.72036 -0.42341 -0.11629 0.19362 0.49888 0.79216 1.06641 1.31504 1.53209 1.71233 1.85145 1.94609 1.99399 0.00000 2.00000 1.99399 1.94609 1.85145 1.71233 1.53209 1.31504 1.06641 0.79216 0.49888 0.19362 -0.11629 -0.42341 -0.72036 -1.00000 -1.25562 -1.48109 -1.67098 -1.82073 -1.92674 -1.98648 -1.99850 -1.96251 -1.87939 -1.75112 -1.58079 -1.37248 -1.13121 -0.86277 -0.57361 -0.27066 0.03878 0.34730 0.64747 0.93209 1.19432 1.42786 1.62710 1.78727 1.90450 1.97598 0.00000 ... ... TT... ....... ....TT... ........... ........TT... E3g 2.00000 1.94609 1.78727 1.53209 1.19432 0.79216 0.34730 -0.11629 -0.57361 -1.00000 -1.37248 -1.67098 -1.87939 -1.98648 -1.98648 -1.87939 -1.67098 -1.37248 -1.00000 -0.57361 -0.11629 0.34730 0.79216 1.19432 1.53209 1.78727 1.94609 2.00000 1.94609 1.78727 1.53209 1.19432 0.79216 0.34730 -0.11629 -0.57361 -1.00000 -1.37248 -1.67098 -1.87939 -1.98648 0.00000 2.00000 -1.98648 -1.87939 -1.67098 -1.37248 -1.00000 -0.57361 -0.11629 0.34730 0.79216 1.19432 1.53209 1.78727 1.94609 2.00000 1.94609 1.78727 1.53209 1.19432 0.79216 0.34730 -0.11629 -0.57361 -1.00000 -1.37248 -1.67098 -1.87939 -1.98648 -1.98648 -1.87939 -1.67098 -1.37248 -1.00000 -0.57361 -0.11629 0.34730 0.79216 1.19432 1.53209 1.78727 1.94609 0.00000 ... ... ..... ....... ..TT..... ........... ......TT..... E4g 2.00000 1.90450 1.62710 1.19432 0.64747 0.03878 -0.57361 -1.13121 -1.58079 -1.87939 -1.99850 -1.92674 -1.67098 -1.25562 -0.72036 -0.11629 0.49888 1.06641 1.53209 1.85145 1.99399 1.94609 1.71233 1.31504 0.79216 0.19362 -0.42341 -1.00000 -1.48109 -1.82073 -1.98648 -1.96251 -1.75112 -1.37248 -0.86277 -0.27066 0.34730 0.93209 1.42786 1.78727 1.97598 0.00000 2.00000 1.97598 1.78727 1.42786 0.93209 0.34730 -0.27066 -0.86277 -1.37248 -1.75112 -1.96251 -1.98648 -1.82073 -1.48109 -1.00000 -0.42341 0.19362 0.79216 1.31504 1.71233 1.94609 1.99399 1.85145 1.53209 1.06641 0.49888 -0.11629 -0.72036 -1.25562 -1.67098 -1.92674 -1.99850 -1.87939 -1.58079 -1.13121 -0.57361 0.03878 0.64747 1.19432 1.62710 1.90450 0.00000 ... ... ..... ....... TT....... ........... ....TT....... E5g 2.00000 1.85145 1.42786 0.79216 0.03878 -0.72036 -1.37248 -1.82073 -1.99850 -1.87939 -1.48109 -0.86277 -0.11629 0.64747 1.31504 1.78727 1.99399 1.90450 1.53209 0.93209 0.19362 -0.57361 -1.25562 -1.75112 -1.98648 -1.92674 -1.58079 -1.00000 -0.27066 0.49888 1.19432 1.71233 1.97598 1.94609 1.62710 1.06641 0.34730 -0.42341 -1.13121 -1.67098 -1.96251 0.00000 2.00000 -1.96251 -1.67098 -1.13121 -0.42341 0.34730 1.06641 1.62710 1.94609 1.97598 1.71233 1.19432 0.49888 -0.27066 -1.00000 -1.58079 -1.92674 -1.98648 -1.75112 -1.25562 -0.57361 0.19362 0.93209 1.53209 1.90450 1.99399 1.78727 1.31504 0.64747 -0.11629 -0.86277 -1.48109 -1.87939 -1.99850 -1.82073 -1.37248 -0.72036 0.03878 0.79216 1.42786 1.85145 0.00000 ... ... ..... ....... ......... ........... ..TT......... E6g 2.00000 1.78727 1.19432 0.34730 -0.57361 -1.37248 -1.87939 -1.98648 -1.67098 -1.00000 -0.11629 0.79216 1.53209 1.94609 1.94609 1.53209 0.79216 -0.11629 -1.00000 -1.67098 -1.98648 -1.87939 -1.37248 -0.57361 0.34730 1.19432 1.78727 2.00000 1.78727 1.19432 0.34730 -0.57361 -1.37248 -1.87939 -1.98648 -1.67098 -1.00000 -0.11629 0.79216 1.53209 1.94609 0.00000 2.00000 1.94609 1.53209 0.79216 -0.11629 -1.00000 -1.67098 -1.98648 -1.87939 -1.37248 -0.57361 0.34730 1.19432 1.78727 2.00000 1.78727 1.19432 0.34730 -0.57361 -1.37248 -1.87939 -1.98648 -1.67098 -1.00000 -0.11629 0.79216 1.53209 1.94609 1.94609 1.53209 0.79216 -0.11629 -1.00000 -1.67098 -1.98648 -1.87939 -1.37248 -0.57361 0.34730 1.19432 1.78727 0.00000 ... ... ..... ....... ......... ........... TT........... E7g 2.00000 1.71233 0.93209 -0.11629 -1.13121 -1.82073 -1.98648 -1.58079 -0.72036 0.34730 1.31504 1.90450 1.94609 1.42786 0.49888 -0.57361 -1.48109 -1.96251 -1.87939 -1.25562 -0.27066 0.79216 1.62710 1.99399 1.78727 1.06641 0.03878 -1.00000 -1.75112 -1.99850 -1.67098 -0.86277 0.19362 1.19432 1.85145 1.97598 1.53209 0.64747 -0.42341 -1.37248 -1.92674 0.00000 2.00000 -1.92674 -1.37248 -0.42341 0.64747 1.53209 1.97598 1.85145 1.19432 0.19362 -0.86277 -1.67098 -1.99850 -1.75112 -1.00000 0.03878 1.06641 1.78727 1.99399 1.62710 0.79216 -0.27066 -1.25562 -1.87939 -1.96251 -1.48109 -0.57361 0.49888 1.42786 1.94609 1.90450 1.31504 0.34730 -0.72036 -1.58079 -1.98648 -1.82073 -1.13121 -0.11629 0.93209 1.71233 0.00000 ... ... ..... ....... ......... ........... ............. E8g 2.00000 1.62710 0.64747 -0.57361 -1.58079 -1.99850 -1.67098 -0.72036 0.49888 1.53209 1.99399 1.71233 0.79216 -0.42341 -1.48109 -1.98648 -1.75112 -0.86277 0.34730 1.42786 1.97598 1.78727 0.93209 -0.27066 -1.37248 -1.96251 -1.82073 -1.00000 0.19362 1.31504 1.94609 1.85145 1.06641 -0.11629 -1.25562 -1.92674 -1.87939 -1.13121 0.03878 1.19432 1.90450 0.00000 2.00000 1.90450 1.19432 0.03878 -1.13121 -1.87939 -1.92674 -1.25562 -0.11629 1.06641 1.85145 1.94609 1.31504 0.19362 -1.00000 -1.82073 -1.96251 -1.37248 -0.27066 0.93209 1.78727 1.97598 1.42786 0.34730 -0.86277 -1.75112 -1.98648 -1.48109 -0.42341 0.79216 1.71233 1.99399 1.53209 0.49888 -0.72036 -1.67098 -1.99850 -1.58079 -0.57361 0.64747 1.62710 0.00000 ... ... ..... ....... ......... ........... ............. E9g 2.00000 1.53209 0.34730 -1.00000 -1.87939 -1.87939 -1.00000 0.34730 1.53209 2.00000 1.53209 0.34730 -1.00000 -1.87939 -1.87939 -1.00000 0.34730 1.53209 2.00000 1.53209 0.34730 -1.00000 -1.87939 -1.87939 -1.00000 0.34730 1.53209 2.00000 1.53209 0.34730 -1.00000 -1.87939 -1.87939 -1.00000 0.34730 1.53209 2.00000 1.53209 0.34730 -1.00000 -1.87939 0.00000 2.00000 -1.87939 -1.00000 0.34730 1.53209 2.00000 1.53209 0.34730 -1.00000 -1.87939 -1.87939 -1.00000 0.34730 1.53209 2.00000 1.53209 0.34730 -1.00000 -1.87939 -1.87939 -1.00000 0.34730 1.53209 2.00000 1.53209 0.34730 -1.00000 -1.87939 -1.87939 -1.00000 0.34730 1.53209 2.00000 1.53209 0.34730 -1.00000 -1.87939 -1.87939 -1.00000 0.34730 1.53209 0.00000 ... ... ..... ....... ......... ........... ............. E10g 2.00000 1.42786 0.03878 -1.37248 -1.99850 -1.48109 -0.11629 1.31504 1.99399 1.53209 0.19362 -1.25562 -1.98648 -1.58079 -0.27066 1.19432 1.97598 1.62710 0.34730 -1.13121 -1.96251 -1.67098 -0.42341 1.06641 1.94609 1.71233 0.49888 -1.00000 -1.92674 -1.75112 -0.57361 0.93209 1.90450 1.78727 0.64747 -0.86277 -1.87939 -1.82073 -0.72036 0.79216 1.85145 0.00000 2.00000 1.85145 0.79216 -0.72036 -1.82073 -1.87939 -0.86277 0.64747 1.78727 1.90450 0.93209 -0.57361 -1.75112 -1.92674 -1.00000 0.49888 1.71233 1.94609 1.06641 -0.42341 -1.67098 -1.96251 -1.13121 0.34730 1.62710 1.97598 1.19432 -0.27066 -1.58079 -1.98648 -1.25562 0.19362 1.53209 1.99399 1.31504 -0.11629 -1.48109 -1.99850 -1.37248 0.03878 1.42786 0.00000 ... ... ..... ....... ......... ........... ............. E11g 2.00000 1.31504 -0.27066 -1.67098 -1.92674 -0.86277 0.79216 1.90450 1.71233 0.34730 -1.25562 -1.99850 -1.37248 0.19362 1.62710 1.94609 0.93209 -0.72036 -1.87939 -1.75112 -0.42341 1.19432 1.99399 1.42786 -0.11629 -1.58079 -1.96251 -1.00000 0.64747 1.85145 1.78727 0.49888 -1.13121 -1.98648 -1.48109 0.03878 1.53209 1.97598 1.06641 -0.57361 -1.82073 0.00000 2.00000 -1.82073 -0.57361 1.06641 1.97598 1.53209 0.03878 -1.48109 -1.98648 -1.13121 0.49888 1.78727 1.85145 0.64747 -1.00000 -1.96251 -1.58079 -0.11629 1.42786 1.99399 1.19432 -0.42341 -1.75112 -1.87939 -0.72036 0.93209 1.94609 1.62710 0.19362 -1.37248 -1.99850 -1.25562 0.34730 1.71233 1.90450 0.79216 -0.86277 -1.92674 -1.67098 -0.27066 1.31504 0.00000 ... ... ..... ....... ......... ........... ............. E12g 2.00000 1.19432 -0.57361 -1.87939 -1.67098 -0.11629 1.53209 1.94609 0.79216 -1.00000 -1.98648 -1.37248 0.34730 1.78727 1.78727 0.34730 -1.37248 -1.98648 -1.00000 0.79216 1.94609 1.53209 -0.11629 -1.67098 -1.87939 -0.57361 1.19432 2.00000 1.19432 -0.57361 -1.87939 -1.67098 -0.11629 1.53209 1.94609 0.79216 -1.00000 -1.98648 -1.37248 0.34730 1.78727 0.00000 2.00000 1.78727 0.34730 -1.37248 -1.98648 -1.00000 0.79216 1.94609 1.53209 -0.11629 -1.67098 -1.87939 -0.57361 1.19432 2.00000 1.19432 -0.57361 -1.87939 -1.67098 -0.11629 1.53209 1.94609 0.79216 -1.00000 -1.98648 -1.37248 0.34730 1.78727 1.78727 0.34730 -1.37248 -1.98648 -1.00000 0.79216 1.94609 1.53209 -0.11629 -1.67098 -1.87939 -0.57361 1.19432 0.00000 ... ... ..... ....... ......... ........... ............. E13g 2.00000 1.06641 -0.86277 -1.98648 -1.25562 0.64747 1.94609 1.42786 -0.42341 -1.87939 -1.58079 0.19362 1.78727 1.71233 0.03878 -1.67098 -1.82073 -0.27066 1.53209 1.90450 0.49888 -1.37248 -1.96251 -0.72036 1.19432 1.99399 0.93209 -1.00000 -1.99850 -1.13121 0.79216 1.97598 1.31504 -0.57361 -1.92674 -1.48109 0.34730 1.85145 1.62710 -0.11629 -1.75112 0.00000 2.00000 -1.75112 -0.11629 1.62710 1.85145 0.34730 -1.48109 -1.92674 -0.57361 1.31504 1.97598 0.79216 -1.13121 -1.99850 -1.00000 0.93209 1.99399 1.19432 -0.72036 -1.96251 -1.37248 0.49888 1.90450 1.53209 -0.27066 -1.82073 -1.67098 0.03878 1.71233 1.78727 0.19362 -1.58079 -1.87939 -0.42341 1.42786 1.94609 0.64747 -1.25562 -1.98648 -0.86277 1.06641 0.00000 ... ... ..... ....... ......... ........... ............. E14g 2.00000 0.93209 -1.13121 -1.98648 -0.72036 1.31504 1.94609 0.49888 -1.48109 -1.87939 -0.27066 1.62710 1.78727 0.03878 -1.75112 -1.67098 0.19362 1.85145 1.53209 -0.42341 -1.92674 -1.37248 0.64747 1.97598 1.19432 -0.86277 -1.99850 -1.00000 1.06641 1.99399 0.79216 -1.25562 -1.96251 -0.57361 1.42786 1.90450 0.34730 -1.58079 -1.82073 -0.11629 1.71233 0.00000 2.00000 1.71233 -0.11629 -1.82073 -1.58079 0.34730 1.90450 1.42786 -0.57361 -1.96251 -1.25562 0.79216 1.99399 1.06641 -1.00000 -1.99850 -0.86277 1.19432 1.97598 0.64747 -1.37248 -1.92674 -0.42341 1.53209 1.85145 0.19362 -1.67098 -1.75112 0.03878 1.78727 1.62710 -0.27066 -1.87939 -1.48109 0.49888 1.94609 1.31504 -0.72036 -1.98648 -1.13121 0.93209 0.00000 ... ... ..... ....... ......... ........... ............. E15g 2.00000 0.79216 -1.37248 -1.87939 -0.11629 1.78727 1.53209 -0.57361 -1.98648 -1.00000 1.19432 1.94609 0.34730 -1.67098 -1.67098 0.34730 1.94609 1.19432 -1.00000 -1.98648 -0.57361 1.53209 1.78727 -0.11629 -1.87939 -1.37248 0.79216 2.00000 0.79216 -1.37248 -1.87939 -0.11629 1.78727 1.53209 -0.57361 -1.98648 -1.00000 1.19432 1.94609 0.34730 -1.67098 0.00000 2.00000 -1.67098 0.34730 1.94609 1.19432 -1.00000 -1.98648 -0.57361 1.53209 1.78727 -0.11629 -1.87939 -1.37248 0.79216 2.00000 0.79216 -1.37248 -1.87939 -0.11629 1.78727 1.53209 -0.57361 -1.98648 -1.00000 1.19432 1.94609 0.34730 -1.67098 -1.67098 0.34730 1.94609 1.19432 -1.00000 -1.98648 -0.57361 1.53209 1.78727 -0.11629 -1.87939 -1.37248 0.79216 0.00000 ... ... ..... ....... ......... ........... ............. E16g 2.00000 0.64747 -1.58079 -1.67098 0.49888 1.99399 0.79216 -1.48109 -1.75112 0.34730 1.97598 0.93209 -1.37248 -1.82073 0.19362 1.94609 1.06641 -1.25562 -1.87939 0.03878 1.90450 1.19432 -1.13121 -1.92674 -0.11629 1.85145 1.31504 -1.00000 -1.96251 -0.27066 1.78727 1.42786 -0.86277 -1.98648 -0.42341 1.71233 1.53209 -0.72036 -1.99850 -0.57361 1.62710 0.00000 2.00000 1.62710 -0.57361 -1.99850 -0.72036 1.53209 1.71233 -0.42341 -1.98648 -0.86277 1.42786 1.78727 -0.27066 -1.96251 -1.00000 1.31504 1.85145 -0.11629 -1.92674 -1.13121 1.19432 1.90450 0.03878 -1.87939 -1.25562 1.06641 1.94609 0.19362 -1.82073 -1.37248 0.93209 1.97598 0.34730 -1.75112 -1.48109 0.79216 1.99399 0.49888 -1.67098 -1.58079 0.64747 0.00000 ... ... ..... ....... ......... ........... ............. E17g 2.00000 0.49888 -1.75112 -1.37248 1.06641 1.90450 -0.11629 -1.96251 -0.86277 1.53209 1.62710 -0.72036 -1.98648 -0.27066 1.85145 1.19432 -1.25562 -1.82073 0.34730 1.99399 0.64747 -1.67098 -1.48109 0.93209 1.94609 0.03878 -1.92674 -1.00000 1.42786 1.71233 -0.57361 -1.99850 -0.42341 1.78727 1.31504 -1.13121 -1.87939 0.19362 1.97598 0.79216 -1.58079 0.00000 2.00000 -1.58079 0.79216 1.97598 0.19362 -1.87939 -1.13121 1.31504 1.78727 -0.42341 -1.99850 -0.57361 1.71233 1.42786 -1.00000 -1.92674 0.03878 1.94609 0.93209 -1.48109 -1.67098 0.64747 1.99399 0.34730 -1.82073 -1.25562 1.19432 1.85145 -0.27066 -1.98648 -0.72036 1.62710 1.53209 -0.86277 -1.96251 -0.11629 1.90450 1.06641 -1.37248 -1.75112 0.49888 0.00000 ... ... ..... ....... ......... ........... ............. E18g 2.00000 0.34730 -1.87939 -1.00000 1.53209 1.53209 -1.00000 -1.87939 0.34730 2.00000 0.34730 -1.87939 -1.00000 1.53209 1.53209 -1.00000 -1.87939 0.34730 2.00000 0.34730 -1.87939 -1.00000 1.53209 1.53209 -1.00000 -1.87939 0.34730 2.00000 0.34730 -1.87939 -1.00000 1.53209 1.53209 -1.00000 -1.87939 0.34730 2.00000 0.34730 -1.87939 -1.00000 1.53209 0.00000 2.00000 1.53209 -1.00000 -1.87939 0.34730 2.00000 0.34730 -1.87939 -1.00000 1.53209 1.53209 -1.00000 -1.87939 0.34730 2.00000 0.34730 -1.87939 -1.00000 1.53209 1.53209 -1.00000 -1.87939 0.34730 2.00000 0.34730 -1.87939 -1.00000 1.53209 1.53209 -1.00000 -1.87939 0.34730 2.00000 0.34730 -1.87939 -1.00000 1.53209 1.53209 -1.00000 -1.87939 0.34730 0.00000 ... ... ..... ....... ......... ........... ............. E19g 2.00000 0.19362 -1.96251 -0.57361 1.85145 0.93209 -1.67098 -1.25562 1.42786 1.53209 -1.13121 -1.75112 0.79216 1.90450 -0.42341 -1.98648 0.03878 1.99399 0.34730 -1.92674 -0.72036 1.78727 1.06641 -1.58079 -1.37248 1.31504 1.62710 -1.00000 -1.82073 0.64747 1.94609 -0.27066 -1.99850 -0.11629 1.97598 0.49888 -1.87939 -0.86277 1.71233 1.19432 -1.48109 0.00000 2.00000 -1.48109 1.19432 1.71233 -0.86277 -1.87939 0.49888 1.97598 -0.11629 -1.99850 -0.27066 1.94609 0.64747 -1.82073 -1.00000 1.62710 1.31504 -1.37248 -1.58079 1.06641 1.78727 -0.72036 -1.92674 0.34730 1.99399 0.03878 -1.98648 -0.42341 1.90450 0.79216 -1.75112 -1.13121 1.53209 1.42786 -1.25562 -1.67098 0.93209 1.85145 -0.57361 -1.96251 0.19362 0.00000 ... ... ..... ....... ......... ........... ............. E20g 2.00000 0.03878 -1.99850 -0.11629 1.99399 0.19362 -1.98648 -0.27066 1.97598 0.34730 -1.96251 -0.42341 1.94609 0.49888 -1.92674 -0.57361 1.90450 0.64747 -1.87939 -0.72036 1.85145 0.79216 -1.82073 -0.86277 1.78727 0.93209 -1.75112 -1.00000 1.71233 1.06641 -1.67098 -1.13121 1.62710 1.19432 -1.58079 -1.25562 1.53209 1.31504 -1.48109 -1.37248 1.42786 0.00000 2.00000 1.42786 -1.37248 -1.48109 1.31504 1.53209 -1.25562 -1.58079 1.19432 1.62710 -1.13121 -1.67098 1.06641 1.71233 -1.00000 -1.75112 0.93209 1.78727 -0.86277 -1.82073 0.79216 1.85145 -0.72036 -1.87939 0.64747 1.90450 -0.57361 -1.92674 0.49888 1.94609 -0.42341 -1.96251 0.34730 1.97598 -0.27066 -1.98648 0.19362 1.99399 -0.11629 -1.99850 0.03878 0.00000 ... ... ..... ....... ......... ........... ............. E21g 2.00000 -0.11629 -1.98648 0.34730 1.94609 -0.57361 -1.87939 0.79216 1.78727 -1.00000 -1.67098 1.19432 1.53209 -1.37248 -1.37248 1.53209 1.19432 -1.67098 -1.00000 1.78727 0.79216 -1.87939 -0.57361 1.94609 0.34730 -1.98648 -0.11629 2.00000 -0.11629 -1.98648 0.34730 1.94609 -0.57361 -1.87939 0.79216 1.78727 -1.00000 -1.67098 1.19432 1.53209 -1.37248 0.00000 2.00000 -1.37248 1.53209 1.19432 -1.67098 -1.00000 1.78727 0.79216 -1.87939 -0.57361 1.94609 0.34730 -1.98648 -0.11629 2.00000 -0.11629 -1.98648 0.34730 1.94609 -0.57361 -1.87939 0.79216 1.78727 -1.00000 -1.67098 1.19432 1.53209 -1.37248 -1.37248 1.53209 1.19432 -1.67098 -1.00000 1.78727 0.79216 -1.87939 -0.57361 1.94609 0.34730 -1.98648 -0.11629 0.00000 ... ... ..... ....... ......... ........... ............. E22g 2.00000 -0.27066 -1.92674 0.79216 1.71233 -1.25562 -1.37248 1.62710 0.93209 -1.87939 -0.42341 1.99399 -0.11629 -1.96251 0.64747 1.78727 -1.13121 -1.48109 1.53209 1.06641 -1.82073 -0.57361 1.97598 0.03878 -1.98648 0.49888 1.85145 -1.00000 -1.58079 1.42786 1.19432 -1.75112 -0.72036 1.94609 0.19362 -1.99850 0.34730 1.90450 -0.86277 -1.67098 1.31504 0.00000 2.00000 1.31504 -1.67098 -0.86277 1.90450 0.34730 -1.99850 0.19362 1.94609 -0.72036 -1.75112 1.19432 1.42786 -1.58079 -1.00000 1.85145 0.49888 -1.98648 0.03878 1.97598 -0.57361 -1.82073 1.06641 1.53209 -1.48109 -1.13121 1.78727 0.64747 -1.96251 -0.11629 1.99399 -0.42341 -1.87939 0.93209 1.62710 -1.37248 -1.25562 1.71233 0.79216 -1.92674 -0.27066 0.00000 ... ... ..... ....... ......... ........... ............. E23g 2.00000 -0.42341 -1.82073 1.19432 1.31504 -1.75112 -0.57361 1.99399 -0.27066 -1.87939 1.06641 1.42786 -1.67098 -0.72036 1.97598 -0.11629 -1.92674 0.93209 1.53209 -1.58079 -0.86277 1.94609 0.03878 -1.96251 0.79216 1.62710 -1.48109 -1.00000 1.90450 0.19362 -1.98648 0.64747 1.71233 -1.37248 -1.13121 1.85145 0.34730 -1.99850 0.49888 1.78727 -1.25562 0.00000 2.00000 -1.25562 1.78727 0.49888 -1.99850 0.34730 1.85145 -1.13121 -1.37248 1.71233 0.64747 -1.98648 0.19362 1.90450 -1.00000 -1.48109 1.62710 0.79216 -1.96251 0.03878 1.94609 -0.86277 -1.58079 1.53209 0.93209 -1.92674 -0.11629 1.97598 -0.72036 -1.67098 1.42786 1.06641 -1.87939 -0.27066 1.99399 -0.57361 -1.75112 1.31504 1.19432 -1.82073 -0.42341 0.00000 ... ... ..... ....... ......... ........... ............. E24g 2.00000 -0.57361 -1.67098 1.53209 0.79216 -1.98648 0.34730 1.78727 -1.37248 -1.00000 1.94609 -0.11629 -1.87939 1.19432 1.19432 -1.87939 -0.11629 1.94609 -1.00000 -1.37248 1.78727 0.34730 -1.98648 0.79216 1.53209 -1.67098 -0.57361 2.00000 -0.57361 -1.67098 1.53209 0.79216 -1.98648 0.34730 1.78727 -1.37248 -1.00000 1.94609 -0.11629 -1.87939 1.19432 0.00000 2.00000 1.19432 -1.87939 -0.11629 1.94609 -1.00000 -1.37248 1.78727 0.34730 -1.98648 0.79216 1.53209 -1.67098 -0.57361 2.00000 -0.57361 -1.67098 1.53209 0.79216 -1.98648 0.34730 1.78727 -1.37248 -1.00000 1.94609 -0.11629 -1.87939 1.19432 1.19432 -1.87939 -0.11629 1.94609 -1.00000 -1.37248 1.78727 0.34730 -1.98648 0.79216 1.53209 -1.67098 -0.57361 0.00000 ... ... ..... ....... ......... ........... ............. E25g 2.00000 -0.72036 -1.48109 1.78727 0.19362 -1.92674 1.19432 1.06641 -1.96251 0.34730 1.71233 -1.58079 -0.57361 1.99399 -0.86277 -1.37248 1.85145 0.03878 -1.87939 1.31504 0.93209 -1.98648 0.49888 1.62710 -1.67098 -0.42341 1.97598 -1.00000 -1.25562 1.90450 -0.11629 -1.82073 1.42786 0.79216 -1.99850 0.64747 1.53209 -1.75112 -0.27066 1.94609 -1.13121 0.00000 2.00000 -1.13121 1.94609 -0.27066 -1.75112 1.53209 0.64747 -1.99850 0.79216 1.42786 -1.82073 -0.11629 1.90450 -1.25562 -1.00000 1.97598 -0.42341 -1.67098 1.62710 0.49888 -1.98648 0.93209 1.31504 -1.87939 0.03878 1.85145 -1.37248 -0.86277 1.99399 -0.57361 -1.58079 1.71233 0.34730 -1.96251 1.06641 1.19432 -1.92674 0.19362 1.78727 -1.48109 -0.72036 0.00000 ... ... ..... ....... ......... ........... ............. E26g 2.00000 -0.86277 -1.25562 1.94609 -0.42341 -1.58079 1.78727 0.03878 -1.82073 1.53209 0.49888 -1.96251 1.19432 0.93209 -1.99850 0.79216 1.31504 -1.92674 0.34730 1.62710 -1.75112 -0.11629 1.85145 -1.48109 -0.57361 1.97598 -1.13121 -1.00000 1.99399 -0.72036 -1.37248 1.90450 -0.27066 -1.67098 1.71233 0.19362 -1.87939 1.42786 0.64747 -1.98648 1.06641 0.00000 2.00000 1.06641 -1.98648 0.64747 1.42786 -1.87939 0.19362 1.71233 -1.67098 -0.27066 1.90450 -1.37248 -0.72036 1.99399 -1.00000 -1.13121 1.97598 -0.57361 -1.48109 1.85145 -0.11629 -1.75112 1.62710 0.34730 -1.92674 1.31504 0.79216 -1.99850 0.93209 1.19432 -1.96251 0.49888 1.53209 -1.82073 0.03878 1.78727 -1.58079 -0.42341 1.94609 -1.25562 -0.86277 0.00000 ... ... ..... ....... ......... ........... ............. E27g 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 0.00000 2.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 0.00000 ... ... ..... ....... ......... ........... ............. E28g 2.00000 -1.13121 -0.72036 1.94609 -1.48109 -0.27066 1.78727 -1.75112 0.19362 1.53209 -1.92674 0.64747 1.19432 -1.99850 1.06641 0.79216 -1.96251 1.42786 0.34730 -1.82073 1.71233 -0.11629 -1.58079 1.90450 -0.57361 -1.25562 1.99399 -1.00000 -0.86277 1.97598 -1.37248 -0.42341 1.85145 -1.67098 0.03878 1.62710 -1.87939 0.49888 1.31504 -1.98648 0.93209 0.00000 2.00000 0.93209 -1.98648 1.31504 0.49888 -1.87939 1.62710 0.03878 -1.67098 1.85145 -0.42341 -1.37248 1.97598 -0.86277 -1.00000 1.99399 -1.25562 -0.57361 1.90450 -1.58079 -0.11629 1.71233 -1.82073 0.34730 1.42786 -1.96251 0.79216 1.06641 -1.99850 1.19432 0.64747 -1.92674 1.53209 0.19362 -1.75112 1.78727 -0.27066 -1.48109 1.94609 -0.72036 -1.13121 0.00000 ... ... ..... ....... ......... ........... ............. E29g 2.00000 -1.25562 -0.42341 1.78727 -1.82073 0.49888 1.19432 -1.99850 1.31504 0.34730 -1.75112 1.85145 -0.57361 -1.13121 1.99399 -1.37248 -0.27066 1.71233 -1.87939 0.64747 1.06641 -1.98648 1.42786 0.19362 -1.67098 1.90450 -0.72036 -1.00000 1.97598 -1.48109 -0.11629 1.62710 -1.92674 0.79216 0.93209 -1.96251 1.53209 0.03878 -1.58079 1.94609 -0.86277 0.00000 2.00000 -0.86277 1.94609 -1.58079 0.03878 1.53209 -1.96251 0.93209 0.79216 -1.92674 1.62710 -0.11629 -1.48109 1.97598 -1.00000 -0.72036 1.90450 -1.67098 0.19362 1.42786 -1.98648 1.06641 0.64747 -1.87939 1.71233 -0.27066 -1.37248 1.99399 -1.13121 -0.57361 1.85145 -1.75112 0.34730 1.31504 -1.99850 1.19432 0.49888 -1.82073 1.78727 -0.42341 -1.25562 0.00000 ... ... ..... ....... ......... ........... ............. E30g 2.00000 -1.37248 -0.11629 1.53209 -1.98648 1.19432 0.34730 -1.67098 1.94609 -1.00000 -0.57361 1.78727 -1.87939 0.79216 0.79216 -1.87939 1.78727 -0.57361 -1.00000 1.94609 -1.67098 0.34730 1.19432 -1.98648 1.53209 -0.11629 -1.37248 2.00000 -1.37248 -0.11629 1.53209 -1.98648 1.19432 0.34730 -1.67098 1.94609 -1.00000 -0.57361 1.78727 -1.87939 0.79216 0.00000 2.00000 0.79216 -1.87939 1.78727 -0.57361 -1.00000 1.94609 -1.67098 0.34730 1.19432 -1.98648 1.53209 -0.11629 -1.37248 2.00000 -1.37248 -0.11629 1.53209 -1.98648 1.19432 0.34730 -1.67098 1.94609 -1.00000 -0.57361 1.78727 -1.87939 0.79216 0.79216 -1.87939 1.78727 -0.57361 -1.00000 1.94609 -1.67098 0.34730 1.19432 -1.98648 1.53209 -0.11629 -1.37248 0.00000 ... ... ..... ....... ......... ........... ............. E31g 2.00000 -1.48109 0.19362 1.19432 -1.96251 1.71233 -0.57361 -0.86277 1.85145 -1.87939 0.93209 0.49888 -1.67098 1.97598 -1.25562 -0.11629 1.42786 -1.99850 1.53209 -0.27066 -1.13121 1.94609 -1.75112 0.64747 0.79216 -1.82073 1.90450 -1.00000 -0.42341 1.62710 -1.98648 1.31504 0.03878 -1.37248 1.99399 -1.58079 0.34730 1.06641 -1.92674 1.78727 -0.72036 0.00000 2.00000 -0.72036 1.78727 -1.92674 1.06641 0.34730 -1.58079 1.99399 -1.37248 0.03878 1.31504 -1.98648 1.62710 -0.42341 -1.00000 1.90450 -1.82073 0.79216 0.64747 -1.75112 1.94609 -1.13121 -0.27066 1.53209 -1.99850 1.42786 -0.11629 -1.25562 1.97598 -1.67098 0.49888 0.93209 -1.87939 1.85145 -0.86277 -0.57361 1.71233 -1.96251 1.19432 0.19362 -1.48109 0.00000 ... ... ..... ....... ......... ........... ............. E32g 2.00000 -1.58079 0.49888 0.79216 -1.75112 1.97598 -1.37248 0.19362 1.06641 -1.87939 1.90450 -1.13121 -0.11629 1.31504 -1.96251 1.78727 -0.86277 -0.42341 1.53209 -1.99850 1.62710 -0.57361 -0.72036 1.71233 -1.98648 1.42786 -0.27066 -1.00000 1.85145 -1.92674 1.19432 0.03878 -1.25562 1.94609 -1.82073 0.93209 0.34730 -1.48109 1.99399 -1.67098 0.64747 0.00000 2.00000 0.64747 -1.67098 1.99399 -1.48109 0.34730 0.93209 -1.82073 1.94609 -1.25562 0.03878 1.19432 -1.92674 1.85145 -1.00000 -0.27066 1.42786 -1.98648 1.71233 -0.72036 -0.57361 1.62710 -1.99850 1.53209 -0.42341 -0.86277 1.78727 -1.96251 1.31504 -0.11629 -1.13121 1.90450 -1.87939 1.06641 0.19362 -1.37248 1.97598 -1.75112 0.79216 0.49888 -1.58079 0.00000 ... ... ..... ....... ......... ........... ............. E33g 2.00000 -1.67098 0.79216 0.34730 -1.37248 1.94609 -1.87939 1.19432 -0.11629 -1.00000 1.78727 -1.98648 1.53209 -0.57361 -0.57361 1.53209 -1.98648 1.78727 -1.00000 -0.11629 1.19432 -1.87939 1.94609 -1.37248 0.34730 0.79216 -1.67098 2.00000 -1.67098 0.79216 0.34730 -1.37248 1.94609 -1.87939 1.19432 -0.11629 -1.00000 1.78727 -1.98648 1.53209 -0.57361 0.00000 2.00000 -0.57361 1.53209 -1.98648 1.78727 -1.00000 -0.11629 1.19432 -1.87939 1.94609 -1.37248 0.34730 0.79216 -1.67098 2.00000 -1.67098 0.79216 0.34730 -1.37248 1.94609 -1.87939 1.19432 -0.11629 -1.00000 1.78727 -1.98648 1.53209 -0.57361 -0.57361 1.53209 -1.98648 1.78727 -1.00000 -0.11629 1.19432 -1.87939 1.94609 -1.37248 0.34730 0.79216 -1.67098 0.00000 ... ... ..... ....... ......... ........... ............. E34g 2.00000 -1.75112 1.06641 -0.11629 -0.86277 1.62710 -1.98648 1.85145 -1.25562 0.34730 0.64747 -1.48109 1.94609 -1.92674 1.42786 -0.57361 -0.42341 1.31504 -1.87939 1.97598 -1.58079 0.79216 0.19362 -1.13121 1.78727 -1.99850 1.71233 -1.00000 0.03878 0.93209 -1.67098 1.99399 -1.82073 1.19432 -0.27066 -0.72036 1.53209 -1.96251 1.90450 -1.37248 0.49888 0.00000 2.00000 0.49888 -1.37248 1.90450 -1.96251 1.53209 -0.72036 -0.27066 1.19432 -1.82073 1.99399 -1.67098 0.93209 0.03878 -1.00000 1.71233 -1.99850 1.78727 -1.13121 0.19362 0.79216 -1.58079 1.97598 -1.87939 1.31504 -0.42341 -0.57361 1.42786 -1.92674 1.94609 -1.48109 0.64747 0.34730 -1.25562 1.85145 -1.98648 1.62710 -0.86277 -0.11629 1.06641 -1.75112 0.00000 ... ... ..... ....... ......... ........... ............. E35g 2.00000 -1.82073 1.31504 -0.57361 -0.27066 1.06641 -1.67098 1.97598 -1.92674 1.53209 -0.86277 0.03878 0.79216 -1.48109 1.90450 -1.98648 1.71233 -1.13121 0.34730 0.49888 -1.25562 1.78727 -1.99850 1.85145 -1.37248 0.64747 0.19362 -1.00000 1.62710 -1.96251 1.94609 -1.58079 0.93209 -0.11629 -0.72036 1.42786 -1.87939 1.99399 -1.75112 1.19432 -0.42341 0.00000 2.00000 -0.42341 1.19432 -1.75112 1.99399 -1.87939 1.42786 -0.72036 -0.11629 0.93209 -1.58079 1.94609 -1.96251 1.62710 -1.00000 0.19362 0.64747 -1.37248 1.85145 -1.99850 1.78727 -1.25562 0.49888 0.34730 -1.13121 1.71233 -1.98648 1.90450 -1.48109 0.79216 0.03878 -0.86277 1.53209 -1.92674 1.97598 -1.67098 1.06641 -0.27066 -0.57361 1.31504 -1.82073 0.00000 ... ... ..... ....... ......... ........... ............. E36g 2.00000 -1.87939 1.53209 -1.00000 0.34730 0.34730 -1.00000 1.53209 -1.87939 2.00000 -1.87939 1.53209 -1.00000 0.34730 0.34730 -1.00000 1.53209 -1.87939 2.00000 -1.87939 1.53209 -1.00000 0.34730 0.34730 -1.00000 1.53209 -1.87939 2.00000 -1.87939 1.53209 -1.00000 0.34730 0.34730 -1.00000 1.53209 -1.87939 2.00000 -1.87939 1.53209 -1.00000 0.34730 0.00000 2.00000 0.34730 -1.00000 1.53209 -1.87939 2.00000 -1.87939 1.53209 -1.00000 0.34730 0.34730 -1.00000 1.53209 -1.87939 2.00000 -1.87939 1.53209 -1.00000 0.34730 0.34730 -1.00000 1.53209 -1.87939 2.00000 -1.87939 1.53209 -1.00000 0.34730 0.34730 -1.00000 1.53209 -1.87939 2.00000 -1.87939 1.53209 -1.00000 0.34730 0.34730 -1.00000 1.53209 -1.87939 0.00000 ... ... ..... ....... ......... ........... ............. E37g 2.00000 -1.92674 1.71233 -1.37248 0.93209 -0.42341 -0.11629 0.64747 -1.13121 1.53209 -1.82073 1.97598 -1.98648 1.85145 -1.58079 1.19432 -0.72036 0.19362 0.34730 -0.86277 1.31504 -1.67098 1.90450 -1.99850 1.94609 -1.75112 1.42786 -1.00000 0.49888 0.03878 -0.57361 1.06641 -1.48109 1.78727 -1.96251 1.99399 -1.87939 1.62710 -1.25562 0.79216 -0.27066 0.00000 2.00000 -0.27066 0.79216 -1.25562 1.62710 -1.87939 1.99399 -1.96251 1.78727 -1.48109 1.06641 -0.57361 0.03878 0.49888 -1.00000 1.42786 -1.75112 1.94609 -1.99850 1.90450 -1.67098 1.31504 -0.86277 0.34730 0.19362 -0.72036 1.19432 -1.58079 1.85145 -1.98648 1.97598 -1.82073 1.53209 -1.13121 0.64747 -0.11629 -0.42341 0.93209 -1.37248 1.71233 -1.92674 0.00000 ... ... ..... ....... ......... ........... ............. E38g 2.00000 -1.96251 1.85145 -1.67098 1.42786 -1.13121 0.79216 -0.42341 0.03878 0.34730 -0.72036 1.06641 -1.37248 1.62710 -1.82073 1.94609 -1.99850 1.97598 -1.87939 1.71233 -1.48109 1.19432 -0.86277 0.49888 -0.11629 -0.27066 0.64747 -1.00000 1.31504 -1.58079 1.78727 -1.92674 1.99399 -1.98648 1.90450 -1.75112 1.53209 -1.25562 0.93209 -0.57361 0.19362 0.00000 2.00000 0.19362 -0.57361 0.93209 -1.25562 1.53209 -1.75112 1.90450 -1.98648 1.99399 -1.92674 1.78727 -1.58079 1.31504 -1.00000 0.64747 -0.27066 -0.11629 0.49888 -0.86277 1.19432 -1.48109 1.71233 -1.87939 1.97598 -1.99850 1.94609 -1.82073 1.62710 -1.37248 1.06641 -0.72036 0.34730 0.03878 -0.42341 0.79216 -1.13121 1.42786 -1.67098 1.85145 -1.96251 0.00000 ... ... ..... ....... ......... ........... ............. E39g 2.00000 -1.98648 1.94609 -1.87939 1.78727 -1.67098 1.53209 -1.37248 1.19432 -1.00000 0.79216 -0.57361 0.34730 -0.11629 -0.11629 0.34730 -0.57361 0.79216 -1.00000 1.19432 -1.37248 1.53209 -1.67098 1.78727 -1.87939 1.94609 -1.98648 2.00000 -1.98648 1.94609 -1.87939 1.78727 -1.67098 1.53209 -1.37248 1.19432 -1.00000 0.79216 -0.57361 0.34730 -0.11629 0.00000 2.00000 -0.11629 0.34730 -0.57361 0.79216 -1.00000 1.19432 -1.37248 1.53209 -1.67098 1.78727 -1.87939 1.94609 -1.98648 2.00000 -1.98648 1.94609 -1.87939 1.78727 -1.67098 1.53209 -1.37248 1.19432 -1.00000 0.79216 -0.57361 0.34730 -0.11629 -0.11629 0.34730 -0.57361 0.79216 -1.00000 1.19432 -1.37248 1.53209 -1.67098 1.78727 -1.87939 1.94609 -1.98648 0.00000 ... ... ..... ....... ......... ........... ............. E40g 2.00000 -1.99850 1.99399 -1.98648 1.97598 -1.96251 1.94609 -1.92674 1.90450 -1.87939 1.85145 -1.82073 1.78727 -1.75112 1.71233 -1.67098 1.62710 -1.58079 1.53209 -1.48109 1.42786 -1.37248 1.31504 -1.25562 1.19432 -1.13121 1.06641 -1.00000 0.93209 -0.86277 0.79216 -0.72036 0.64747 -0.57361 0.49888 -0.42341 0.34730 -0.27066 0.19362 -0.11629 0.03878 0.00000 2.00000 0.03878 -0.11629 0.19362 -0.27066 0.34730 -0.42341 0.49888 -0.57361 0.64747 -0.72036 0.79216 -0.86277 0.93209 -1.00000 1.06641 -1.13121 1.19432 -1.25562 1.31504 -1.37248 1.42786 -1.48109 1.53209 -1.58079 1.62710 -1.67098 1.71233 -1.75112 1.78727 -1.82073 1.85145 -1.87939 1.90450 -1.92674 1.94609 -1.96251 1.97598 -1.98648 1.99399 -1.99850 0.00000 ... ... ..... ....... ......... ........... ............. A1u 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 ... ... ..... ....... ......... ........... ............. A2u 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 -1.00000 1.00000 ... ..T ..... ......T ......... ..........T ............. E1u 2.00000 1.99399 1.97598 1.94609 1.90450 1.85145 1.78727 1.71233 1.62710 1.53209 1.42786 1.31504 1.19432 1.06641 0.93209 0.79216 0.64747 0.49888 0.34730 0.19362 0.03878 -0.11629 -0.27066 -0.42341 -0.57361 -0.72036 -0.86277 -1.00000 -1.13121 -1.25562 -1.37248 -1.48109 -1.58079 -1.67098 -1.75112 -1.82073 -1.87939 -1.92674 -1.96251 -1.98648 -1.99850 0.00000 -2.00000 1.99850 1.98648 1.96251 1.92674 1.87939 1.82073 1.75112 1.67098 1.58079 1.48109 1.37248 1.25562 1.13121 1.00000 0.86277 0.72036 0.57361 0.42341 0.27066 0.11629 -0.03878 -0.19362 -0.34730 -0.49888 -0.64747 -0.79216 -0.93209 -1.06641 -1.19432 -1.31504 -1.42786 -1.53209 -1.62710 -1.71233 -1.78727 -1.85145 -1.90450 -1.94609 -1.97598 -1.99399 0.00000 ... TT. ..... ....TT. ......... ........TT. ............. E2u 2.00000 1.97598 1.90450 1.78727 1.62710 1.42786 1.19432 0.93209 0.64747 0.34730 0.03878 -0.27066 -0.57361 -0.86277 -1.13121 -1.37248 -1.58079 -1.75112 -1.87939 -1.96251 -1.99850 -1.98648 -1.92674 -1.82073 -1.67098 -1.48109 -1.25562 -1.00000 -0.72036 -0.42341 -0.11629 0.19362 0.49888 0.79216 1.06641 1.31504 1.53209 1.71233 1.85145 1.94609 1.99399 0.00000 -2.00000 -1.99399 -1.94609 -1.85145 -1.71233 -1.53209 -1.31504 -1.06641 -0.79216 -0.49888 -0.19362 0.11629 0.42341 0.72036 1.00000 1.25562 1.48109 1.67098 1.82073 1.92674 1.98648 1.99850 1.96251 1.87939 1.75112 1.58079 1.37248 1.13121 0.86277 0.57361 0.27066 -0.03878 -0.34730 -0.64747 -0.93209 -1.19432 -1.42786 -1.62710 -1.78727 -1.90450 -1.97598 0.00000 ... ... ..... ..TT... ......... ......TT... ............. E3u 2.00000 1.94609 1.78727 1.53209 1.19432 0.79216 0.34730 -0.11629 -0.57361 -1.00000 -1.37248 -1.67098 -1.87939 -1.98648 -1.98648 -1.87939 -1.67098 -1.37248 -1.00000 -0.57361 -0.11629 0.34730 0.79216 1.19432 1.53209 1.78727 1.94609 2.00000 1.94609 1.78727 1.53209 1.19432 0.79216 0.34730 -0.11629 -0.57361 -1.00000 -1.37248 -1.67098 -1.87939 -1.98648 0.00000 -2.00000 1.98648 1.87939 1.67098 1.37248 1.00000 0.57361 0.11629 -0.34730 -0.79216 -1.19432 -1.53209 -1.78727 -1.94609 -2.00000 -1.94609 -1.78727 -1.53209 -1.19432 -0.79216 -0.34730 0.11629 0.57361 1.00000 1.37248 1.67098 1.87939 1.98648 1.98648 1.87939 1.67098 1.37248 1.00000 0.57361 0.11629 -0.34730 -0.79216 -1.19432 -1.53209 -1.78727 -1.94609 0.00000 ... ... ..... TT..... ......... ....TT..... ............. E4u 2.00000 1.90450 1.62710 1.19432 0.64747 0.03878 -0.57361 -1.13121 -1.58079 -1.87939 -1.99850 -1.92674 -1.67098 -1.25562 -0.72036 -0.11629 0.49888 1.06641 1.53209 1.85145 1.99399 1.94609 1.71233 1.31504 0.79216 0.19362 -0.42341 -1.00000 -1.48109 -1.82073 -1.98648 -1.96251 -1.75112 -1.37248 -0.86277 -0.27066 0.34730 0.93209 1.42786 1.78727 1.97598 0.00000 -2.00000 -1.97598 -1.78727 -1.42786 -0.93209 -0.34730 0.27066 0.86277 1.37248 1.75112 1.96251 1.98648 1.82073 1.48109 1.00000 0.42341 -0.19362 -0.79216 -1.31504 -1.71233 -1.94609 -1.99399 -1.85145 -1.53209 -1.06641 -0.49888 0.11629 0.72036 1.25562 1.67098 1.92674 1.99850 1.87939 1.58079 1.13121 0.57361 -0.03878 -0.64747 -1.19432 -1.62710 -1.90450 0.00000 ... ... ..... ....... ......... ..TT....... ............. E5u 2.00000 1.85145 1.42786 0.79216 0.03878 -0.72036 -1.37248 -1.82073 -1.99850 -1.87939 -1.48109 -0.86277 -0.11629 0.64747 1.31504 1.78727 1.99399 1.90450 1.53209 0.93209 0.19362 -0.57361 -1.25562 -1.75112 -1.98648 -1.92674 -1.58079 -1.00000 -0.27066 0.49888 1.19432 1.71233 1.97598 1.94609 1.62710 1.06641 0.34730 -0.42341 -1.13121 -1.67098 -1.96251 0.00000 -2.00000 1.96251 1.67098 1.13121 0.42341 -0.34730 -1.06641 -1.62710 -1.94609 -1.97598 -1.71233 -1.19432 -0.49888 0.27066 1.00000 1.58079 1.92674 1.98648 1.75112 1.25562 0.57361 -0.19362 -0.93209 -1.53209 -1.90450 -1.99399 -1.78727 -1.31504 -0.64747 0.11629 0.86277 1.48109 1.87939 1.99850 1.82073 1.37248 0.72036 -0.03878 -0.79216 -1.42786 -1.85145 0.00000 ... ... ..... ....... ......... TT......... ............. E6u 2.00000 1.78727 1.19432 0.34730 -0.57361 -1.37248 -1.87939 -1.98648 -1.67098 -1.00000 -0.11629 0.79216 1.53209 1.94609 1.94609 1.53209 0.79216 -0.11629 -1.00000 -1.67098 -1.98648 -1.87939 -1.37248 -0.57361 0.34730 1.19432 1.78727 2.00000 1.78727 1.19432 0.34730 -0.57361 -1.37248 -1.87939 -1.98648 -1.67098 -1.00000 -0.11629 0.79216 1.53209 1.94609 0.00000 -2.00000 -1.94609 -1.53209 -0.79216 0.11629 1.00000 1.67098 1.98648 1.87939 1.37248 0.57361 -0.34730 -1.19432 -1.78727 -2.00000 -1.78727 -1.19432 -0.34730 0.57361 1.37248 1.87939 1.98648 1.67098 1.00000 0.11629 -0.79216 -1.53209 -1.94609 -1.94609 -1.53209 -0.79216 0.11629 1.00000 1.67098 1.98648 1.87939 1.37248 0.57361 -0.34730 -1.19432 -1.78727 0.00000 ... ... ..... ....... ......... ........... ............. E7u 2.00000 1.71233 0.93209 -0.11629 -1.13121 -1.82073 -1.98648 -1.58079 -0.72036 0.34730 1.31504 1.90450 1.94609 1.42786 0.49888 -0.57361 -1.48109 -1.96251 -1.87939 -1.25562 -0.27066 0.79216 1.62710 1.99399 1.78727 1.06641 0.03878 -1.00000 -1.75112 -1.99850 -1.67098 -0.86277 0.19362 1.19432 1.85145 1.97598 1.53209 0.64747 -0.42341 -1.37248 -1.92674 0.00000 -2.00000 1.92674 1.37248 0.42341 -0.64747 -1.53209 -1.97598 -1.85145 -1.19432 -0.19362 0.86277 1.67098 1.99850 1.75112 1.00000 -0.03878 -1.06641 -1.78727 -1.99399 -1.62710 -0.79216 0.27066 1.25562 1.87939 1.96251 1.48109 0.57361 -0.49888 -1.42786 -1.94609 -1.90450 -1.31504 -0.34730 0.72036 1.58079 1.98648 1.82073 1.13121 0.11629 -0.93209 -1.71233 0.00000 ... ... ..... ....... ......... ........... ............. E8u 2.00000 1.62710 0.64747 -0.57361 -1.58079 -1.99850 -1.67098 -0.72036 0.49888 1.53209 1.99399 1.71233 0.79216 -0.42341 -1.48109 -1.98648 -1.75112 -0.86277 0.34730 1.42786 1.97598 1.78727 0.93209 -0.27066 -1.37248 -1.96251 -1.82073 -1.00000 0.19362 1.31504 1.94609 1.85145 1.06641 -0.11629 -1.25562 -1.92674 -1.87939 -1.13121 0.03878 1.19432 1.90450 0.00000 -2.00000 -1.90450 -1.19432 -0.03878 1.13121 1.87939 1.92674 1.25562 0.11629 -1.06641 -1.85145 -1.94609 -1.31504 -0.19362 1.00000 1.82073 1.96251 1.37248 0.27066 -0.93209 -1.78727 -1.97598 -1.42786 -0.34730 0.86277 1.75112 1.98648 1.48109 0.42341 -0.79216 -1.71233 -1.99399 -1.53209 -0.49888 0.72036 1.67098 1.99850 1.58079 0.57361 -0.64747 -1.62710 0.00000 ... ... ..... ....... ......... ........... ............. E9u 2.00000 1.53209 0.34730 -1.00000 -1.87939 -1.87939 -1.00000 0.34730 1.53209 2.00000 1.53209 0.34730 -1.00000 -1.87939 -1.87939 -1.00000 0.34730 1.53209 2.00000 1.53209 0.34730 -1.00000 -1.87939 -1.87939 -1.00000 0.34730 1.53209 2.00000 1.53209 0.34730 -1.00000 -1.87939 -1.87939 -1.00000 0.34730 1.53209 2.00000 1.53209 0.34730 -1.00000 -1.87939 0.00000 -2.00000 1.87939 1.00000 -0.34730 -1.53209 -2.00000 -1.53209 -0.34730 1.00000 1.87939 1.87939 1.00000 -0.34730 -1.53209 -2.00000 -1.53209 -0.34730 1.00000 1.87939 1.87939 1.00000 -0.34730 -1.53209 -2.00000 -1.53209 -0.34730 1.00000 1.87939 1.87939 1.00000 -0.34730 -1.53209 -2.00000 -1.53209 -0.34730 1.00000 1.87939 1.87939 1.00000 -0.34730 -1.53209 0.00000 ... ... ..... ....... ......... ........... ............. E10u 2.00000 1.42786 0.03878 -1.37248 -1.99850 -1.48109 -0.11629 1.31504 1.99399 1.53209 0.19362 -1.25562 -1.98648 -1.58079 -0.27066 1.19432 1.97598 1.62710 0.34730 -1.13121 -1.96251 -1.67098 -0.42341 1.06641 1.94609 1.71233 0.49888 -1.00000 -1.92674 -1.75112 -0.57361 0.93209 1.90450 1.78727 0.64747 -0.86277 -1.87939 -1.82073 -0.72036 0.79216 1.85145 0.00000 -2.00000 -1.85145 -0.79216 0.72036 1.82073 1.87939 0.86277 -0.64747 -1.78727 -1.90450 -0.93209 0.57361 1.75112 1.92674 1.00000 -0.49888 -1.71233 -1.94609 -1.06641 0.42341 1.67098 1.96251 1.13121 -0.34730 -1.62710 -1.97598 -1.19432 0.27066 1.58079 1.98648 1.25562 -0.19362 -1.53209 -1.99399 -1.31504 0.11629 1.48109 1.99850 1.37248 -0.03878 -1.42786 0.00000 ... ... ..... ....... ......... ........... ............. E11u 2.00000 1.31504 -0.27066 -1.67098 -1.92674 -0.86277 0.79216 1.90450 1.71233 0.34730 -1.25562 -1.99850 -1.37248 0.19362 1.62710 1.94609 0.93209 -0.72036 -1.87939 -1.75112 -0.42341 1.19432 1.99399 1.42786 -0.11629 -1.58079 -1.96251 -1.00000 0.64747 1.85145 1.78727 0.49888 -1.13121 -1.98648 -1.48109 0.03878 1.53209 1.97598 1.06641 -0.57361 -1.82073 0.00000 -2.00000 1.82073 0.57361 -1.06641 -1.97598 -1.53209 -0.03878 1.48109 1.98648 1.13121 -0.49888 -1.78727 -1.85145 -0.64747 1.00000 1.96251 1.58079 0.11629 -1.42786 -1.99399 -1.19432 0.42341 1.75112 1.87939 0.72036 -0.93209 -1.94609 -1.62710 -0.19362 1.37248 1.99850 1.25562 -0.34730 -1.71233 -1.90450 -0.79216 0.86277 1.92674 1.67098 0.27066 -1.31504 0.00000 ... ... ..... ....... ......... ........... ............. E12u 2.00000 1.19432 -0.57361 -1.87939 -1.67098 -0.11629 1.53209 1.94609 0.79216 -1.00000 -1.98648 -1.37248 0.34730 1.78727 1.78727 0.34730 -1.37248 -1.98648 -1.00000 0.79216 1.94609 1.53209 -0.11629 -1.67098 -1.87939 -0.57361 1.19432 2.00000 1.19432 -0.57361 -1.87939 -1.67098 -0.11629 1.53209 1.94609 0.79216 -1.00000 -1.98648 -1.37248 0.34730 1.78727 0.00000 -2.00000 -1.78727 -0.34730 1.37248 1.98648 1.00000 -0.79216 -1.94609 -1.53209 0.11629 1.67098 1.87939 0.57361 -1.19432 -2.00000 -1.19432 0.57361 1.87939 1.67098 0.11629 -1.53209 -1.94609 -0.79216 1.00000 1.98648 1.37248 -0.34730 -1.78727 -1.78727 -0.34730 1.37248 1.98648 1.00000 -0.79216 -1.94609 -1.53209 0.11629 1.67098 1.87939 0.57361 -1.19432 0.00000 ... ... ..... ....... ......... ........... ............. E13u 2.00000 1.06641 -0.86277 -1.98648 -1.25562 0.64747 1.94609 1.42786 -0.42341 -1.87939 -1.58079 0.19362 1.78727 1.71233 0.03878 -1.67098 -1.82073 -0.27066 1.53209 1.90450 0.49888 -1.37248 -1.96251 -0.72036 1.19432 1.99399 0.93209 -1.00000 -1.99850 -1.13121 0.79216 1.97598 1.31504 -0.57361 -1.92674 -1.48109 0.34730 1.85145 1.62710 -0.11629 -1.75112 0.00000 -2.00000 1.75112 0.11629 -1.62710 -1.85145 -0.34730 1.48109 1.92674 0.57361 -1.31504 -1.97598 -0.79216 1.13121 1.99850 1.00000 -0.93209 -1.99399 -1.19432 0.72036 1.96251 1.37248 -0.49888 -1.90450 -1.53209 0.27066 1.82073 1.67098 -0.03878 -1.71233 -1.78727 -0.19362 1.58079 1.87939 0.42341 -1.42786 -1.94609 -0.64747 1.25562 1.98648 0.86277 -1.06641 0.00000 ... ... ..... ....... ......... ........... ............. E14u 2.00000 0.93209 -1.13121 -1.98648 -0.72036 1.31504 1.94609 0.49888 -1.48109 -1.87939 -0.27066 1.62710 1.78727 0.03878 -1.75112 -1.67098 0.19362 1.85145 1.53209 -0.42341 -1.92674 -1.37248 0.64747 1.97598 1.19432 -0.86277 -1.99850 -1.00000 1.06641 1.99399 0.79216 -1.25562 -1.96251 -0.57361 1.42786 1.90450 0.34730 -1.58079 -1.82073 -0.11629 1.71233 0.00000 -2.00000 -1.71233 0.11629 1.82073 1.58079 -0.34730 -1.90450 -1.42786 0.57361 1.96251 1.25562 -0.79216 -1.99399 -1.06641 1.00000 1.99850 0.86277 -1.19432 -1.97598 -0.64747 1.37248 1.92674 0.42341 -1.53209 -1.85145 -0.19362 1.67098 1.75112 -0.03878 -1.78727 -1.62710 0.27066 1.87939 1.48109 -0.49888 -1.94609 -1.31504 0.72036 1.98648 1.13121 -0.93209 0.00000 ... ... ..... ....... ......... ........... ............. E15u 2.00000 0.79216 -1.37248 -1.87939 -0.11629 1.78727 1.53209 -0.57361 -1.98648 -1.00000 1.19432 1.94609 0.34730 -1.67098 -1.67098 0.34730 1.94609 1.19432 -1.00000 -1.98648 -0.57361 1.53209 1.78727 -0.11629 -1.87939 -1.37248 0.79216 2.00000 0.79216 -1.37248 -1.87939 -0.11629 1.78727 1.53209 -0.57361 -1.98648 -1.00000 1.19432 1.94609 0.34730 -1.67098 0.00000 -2.00000 1.67098 -0.34730 -1.94609 -1.19432 1.00000 1.98648 0.57361 -1.53209 -1.78727 0.11629 1.87939 1.37248 -0.79216 -2.00000 -0.79216 1.37248 1.87939 0.11629 -1.78727 -1.53209 0.57361 1.98648 1.00000 -1.19432 -1.94609 -0.34730 1.67098 1.67098 -0.34730 -1.94609 -1.19432 1.00000 1.98648 0.57361 -1.53209 -1.78727 0.11629 1.87939 1.37248 -0.79216 0.00000 ... ... ..... ....... ......... ........... ............. E16u 2.00000 0.64747 -1.58079 -1.67098 0.49888 1.99399 0.79216 -1.48109 -1.75112 0.34730 1.97598 0.93209 -1.37248 -1.82073 0.19362 1.94609 1.06641 -1.25562 -1.87939 0.03878 1.90450 1.19432 -1.13121 -1.92674 -0.11629 1.85145 1.31504 -1.00000 -1.96251 -0.27066 1.78727 1.42786 -0.86277 -1.98648 -0.42341 1.71233 1.53209 -0.72036 -1.99850 -0.57361 1.62710 0.00000 -2.00000 -1.62710 0.57361 1.99850 0.72036 -1.53209 -1.71233 0.42341 1.98648 0.86277 -1.42786 -1.78727 0.27066 1.96251 1.00000 -1.31504 -1.85145 0.11629 1.92674 1.13121 -1.19432 -1.90450 -0.03878 1.87939 1.25562 -1.06641 -1.94609 -0.19362 1.82073 1.37248 -0.93209 -1.97598 -0.34730 1.75112 1.48109 -0.79216 -1.99399 -0.49888 1.67098 1.58079 -0.64747 0.00000 ... ... ..... ....... ......... ........... ............. E17u 2.00000 0.49888 -1.75112 -1.37248 1.06641 1.90450 -0.11629 -1.96251 -0.86277 1.53209 1.62710 -0.72036 -1.98648 -0.27066 1.85145 1.19432 -1.25562 -1.82073 0.34730 1.99399 0.64747 -1.67098 -1.48109 0.93209 1.94609 0.03878 -1.92674 -1.00000 1.42786 1.71233 -0.57361 -1.99850 -0.42341 1.78727 1.31504 -1.13121 -1.87939 0.19362 1.97598 0.79216 -1.58079 0.00000 -2.00000 1.58079 -0.79216 -1.97598 -0.19362 1.87939 1.13121 -1.31504 -1.78727 0.42341 1.99850 0.57361 -1.71233 -1.42786 1.00000 1.92674 -0.03878 -1.94609 -0.93209 1.48109 1.67098 -0.64747 -1.99399 -0.34730 1.82073 1.25562 -1.19432 -1.85145 0.27066 1.98648 0.72036 -1.62710 -1.53209 0.86277 1.96251 0.11629 -1.90450 -1.06641 1.37248 1.75112 -0.49888 0.00000 ... ... ..... ....... ......... ........... ............. E18u 2.00000 0.34730 -1.87939 -1.00000 1.53209 1.53209 -1.00000 -1.87939 0.34730 2.00000 0.34730 -1.87939 -1.00000 1.53209 1.53209 -1.00000 -1.87939 0.34730 2.00000 0.34730 -1.87939 -1.00000 1.53209 1.53209 -1.00000 -1.87939 0.34730 2.00000 0.34730 -1.87939 -1.00000 1.53209 1.53209 -1.00000 -1.87939 0.34730 2.00000 0.34730 -1.87939 -1.00000 1.53209 0.00000 -2.00000 -1.53209 1.00000 1.87939 -0.34730 -2.00000 -0.34730 1.87939 1.00000 -1.53209 -1.53209 1.00000 1.87939 -0.34730 -2.00000 -0.34730 1.87939 1.00000 -1.53209 -1.53209 1.00000 1.87939 -0.34730 -2.00000 -0.34730 1.87939 1.00000 -1.53209 -1.53209 1.00000 1.87939 -0.34730 -2.00000 -0.34730 1.87939 1.00000 -1.53209 -1.53209 1.00000 1.87939 -0.34730 0.00000 ... ... ..... ....... ......... ........... ............. E19u 2.00000 0.19362 -1.96251 -0.57361 1.85145 0.93209 -1.67098 -1.25562 1.42786 1.53209 -1.13121 -1.75112 0.79216 1.90450 -0.42341 -1.98648 0.03878 1.99399 0.34730 -1.92674 -0.72036 1.78727 1.06641 -1.58079 -1.37248 1.31504 1.62710 -1.00000 -1.82073 0.64747 1.94609 -0.27066 -1.99850 -0.11629 1.97598 0.49888 -1.87939 -0.86277 1.71233 1.19432 -1.48109 0.00000 -2.00000 1.48109 -1.19432 -1.71233 0.86277 1.87939 -0.49888 -1.97598 0.11629 1.99850 0.27066 -1.94609 -0.64747 1.82073 1.00000 -1.62710 -1.31504 1.37248 1.58079 -1.06641 -1.78727 0.72036 1.92674 -0.34730 -1.99399 -0.03878 1.98648 0.42341 -1.90450 -0.79216 1.75112 1.13121 -1.53209 -1.42786 1.25562 1.67098 -0.93209 -1.85145 0.57361 1.96251 -0.19362 0.00000 ... ... ..... ....... ......... ........... ............. E20u 2.00000 0.03878 -1.99850 -0.11629 1.99399 0.19362 -1.98648 -0.27066 1.97598 0.34730 -1.96251 -0.42341 1.94609 0.49888 -1.92674 -0.57361 1.90450 0.64747 -1.87939 -0.72036 1.85145 0.79216 -1.82073 -0.86277 1.78727 0.93209 -1.75112 -1.00000 1.71233 1.06641 -1.67098 -1.13121 1.62710 1.19432 -1.58079 -1.25562 1.53209 1.31504 -1.48109 -1.37248 1.42786 0.00000 -2.00000 -1.42786 1.37248 1.48109 -1.31504 -1.53209 1.25562 1.58079 -1.19432 -1.62710 1.13121 1.67098 -1.06641 -1.71233 1.00000 1.75112 -0.93209 -1.78727 0.86277 1.82073 -0.79216 -1.85145 0.72036 1.87939 -0.64747 -1.90450 0.57361 1.92674 -0.49888 -1.94609 0.42341 1.96251 -0.34730 -1.97598 0.27066 1.98648 -0.19362 -1.99399 0.11629 1.99850 -0.03878 0.00000 ... ... ..... ....... ......... ........... ............. E21u 2.00000 -0.11629 -1.98648 0.34730 1.94609 -0.57361 -1.87939 0.79216 1.78727 -1.00000 -1.67098 1.19432 1.53209 -1.37248 -1.37248 1.53209 1.19432 -1.67098 -1.00000 1.78727 0.79216 -1.87939 -0.57361 1.94609 0.34730 -1.98648 -0.11629 2.00000 -0.11629 -1.98648 0.34730 1.94609 -0.57361 -1.87939 0.79216 1.78727 -1.00000 -1.67098 1.19432 1.53209 -1.37248 0.00000 -2.00000 1.37248 -1.53209 -1.19432 1.67098 1.00000 -1.78727 -0.79216 1.87939 0.57361 -1.94609 -0.34730 1.98648 0.11629 -2.00000 0.11629 1.98648 -0.34730 -1.94609 0.57361 1.87939 -0.79216 -1.78727 1.00000 1.67098 -1.19432 -1.53209 1.37248 1.37248 -1.53209 -1.19432 1.67098 1.00000 -1.78727 -0.79216 1.87939 0.57361 -1.94609 -0.34730 1.98648 0.11629 0.00000 ... ... ..... ....... ......... ........... ............. E22u 2.00000 -0.27066 -1.92674 0.79216 1.71233 -1.25562 -1.37248 1.62710 0.93209 -1.87939 -0.42341 1.99399 -0.11629 -1.96251 0.64747 1.78727 -1.13121 -1.48109 1.53209 1.06641 -1.82073 -0.57361 1.97598 0.03878 -1.98648 0.49888 1.85145 -1.00000 -1.58079 1.42786 1.19432 -1.75112 -0.72036 1.94609 0.19362 -1.99850 0.34730 1.90450 -0.86277 -1.67098 1.31504 0.00000 -2.00000 -1.31504 1.67098 0.86277 -1.90450 -0.34730 1.99850 -0.19362 -1.94609 0.72036 1.75112 -1.19432 -1.42786 1.58079 1.00000 -1.85145 -0.49888 1.98648 -0.03878 -1.97598 0.57361 1.82073 -1.06641 -1.53209 1.48109 1.13121 -1.78727 -0.64747 1.96251 0.11629 -1.99399 0.42341 1.87939 -0.93209 -1.62710 1.37248 1.25562 -1.71233 -0.79216 1.92674 0.27066 0.00000 ... ... ..... ....... ......... ........... ............. E23u 2.00000 -0.42341 -1.82073 1.19432 1.31504 -1.75112 -0.57361 1.99399 -0.27066 -1.87939 1.06641 1.42786 -1.67098 -0.72036 1.97598 -0.11629 -1.92674 0.93209 1.53209 -1.58079 -0.86277 1.94609 0.03878 -1.96251 0.79216 1.62710 -1.48109 -1.00000 1.90450 0.19362 -1.98648 0.64747 1.71233 -1.37248 -1.13121 1.85145 0.34730 -1.99850 0.49888 1.78727 -1.25562 0.00000 -2.00000 1.25562 -1.78727 -0.49888 1.99850 -0.34730 -1.85145 1.13121 1.37248 -1.71233 -0.64747 1.98648 -0.19362 -1.90450 1.00000 1.48109 -1.62710 -0.79216 1.96251 -0.03878 -1.94609 0.86277 1.58079 -1.53209 -0.93209 1.92674 0.11629 -1.97598 0.72036 1.67098 -1.42786 -1.06641 1.87939 0.27066 -1.99399 0.57361 1.75112 -1.31504 -1.19432 1.82073 0.42341 0.00000 ... ... ..... ....... ......... ........... ............. E24u 2.00000 -0.57361 -1.67098 1.53209 0.79216 -1.98648 0.34730 1.78727 -1.37248 -1.00000 1.94609 -0.11629 -1.87939 1.19432 1.19432 -1.87939 -0.11629 1.94609 -1.00000 -1.37248 1.78727 0.34730 -1.98648 0.79216 1.53209 -1.67098 -0.57361 2.00000 -0.57361 -1.67098 1.53209 0.79216 -1.98648 0.34730 1.78727 -1.37248 -1.00000 1.94609 -0.11629 -1.87939 1.19432 0.00000 -2.00000 -1.19432 1.87939 0.11629 -1.94609 1.00000 1.37248 -1.78727 -0.34730 1.98648 -0.79216 -1.53209 1.67098 0.57361 -2.00000 0.57361 1.67098 -1.53209 -0.79216 1.98648 -0.34730 -1.78727 1.37248 1.00000 -1.94609 0.11629 1.87939 -1.19432 -1.19432 1.87939 0.11629 -1.94609 1.00000 1.37248 -1.78727 -0.34730 1.98648 -0.79216 -1.53209 1.67098 0.57361 0.00000 ... ... ..... ....... ......... ........... ............. E25u 2.00000 -0.72036 -1.48109 1.78727 0.19362 -1.92674 1.19432 1.06641 -1.96251 0.34730 1.71233 -1.58079 -0.57361 1.99399 -0.86277 -1.37248 1.85145 0.03878 -1.87939 1.31504 0.93209 -1.98648 0.49888 1.62710 -1.67098 -0.42341 1.97598 -1.00000 -1.25562 1.90450 -0.11629 -1.82073 1.42786 0.79216 -1.99850 0.64747 1.53209 -1.75112 -0.27066 1.94609 -1.13121 0.00000 -2.00000 1.13121 -1.94609 0.27066 1.75112 -1.53209 -0.64747 1.99850 -0.79216 -1.42786 1.82073 0.11629 -1.90450 1.25562 1.00000 -1.97598 0.42341 1.67098 -1.62710 -0.49888 1.98648 -0.93209 -1.31504 1.87939 -0.03878 -1.85145 1.37248 0.86277 -1.99399 0.57361 1.58079 -1.71233 -0.34730 1.96251 -1.06641 -1.19432 1.92674 -0.19362 -1.78727 1.48109 0.72036 0.00000 ... ... ..... ....... ......... ........... ............. E26u 2.00000 -0.86277 -1.25562 1.94609 -0.42341 -1.58079 1.78727 0.03878 -1.82073 1.53209 0.49888 -1.96251 1.19432 0.93209 -1.99850 0.79216 1.31504 -1.92674 0.34730 1.62710 -1.75112 -0.11629 1.85145 -1.48109 -0.57361 1.97598 -1.13121 -1.00000 1.99399 -0.72036 -1.37248 1.90450 -0.27066 -1.67098 1.71233 0.19362 -1.87939 1.42786 0.64747 -1.98648 1.06641 0.00000 -2.00000 -1.06641 1.98648 -0.64747 -1.42786 1.87939 -0.19362 -1.71233 1.67098 0.27066 -1.90450 1.37248 0.72036 -1.99399 1.00000 1.13121 -1.97598 0.57361 1.48109 -1.85145 0.11629 1.75112 -1.62710 -0.34730 1.92674 -1.31504 -0.79216 1.99850 -0.93209 -1.19432 1.96251 -0.49888 -1.53209 1.82073 -0.03878 -1.78727 1.58079 0.42341 -1.94609 1.25562 0.86277 0.00000 ... ... ..... ....... ......... ........... ............. E27u 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 -1.00000 2.00000 -1.00000 0.00000 -2.00000 1.00000 -2.00000 1.00000 1.00000 -2.00000 1.00000 1.00000 -2.00000 1.00000 1.00000 -2.00000 1.00000 1.00000 -2.00000 1.00000 1.00000 -2.00000 1.00000 1.00000 -2.00000 1.00000 1.00000 -2.00000 1.00000 1.00000 -2.00000 1.00000 1.00000 -2.00000 1.00000 1.00000 -2.00000 1.00000 1.00000 -2.00000 1.00000 1.00000 -2.00000 1.00000 1.00000 0.00000 ... ... ..... ....... ......... ........... ............. E28u 2.00000 -1.13121 -0.72036 1.94609 -1.48109 -0.27066 1.78727 -1.75112 0.19362 1.53209 -1.92674 0.64747 1.19432 -1.99850 1.06641 0.79216 -1.96251 1.42786 0.34730 -1.82073 1.71233 -0.11629 -1.58079 1.90450 -0.57361 -1.25562 1.99399 -1.00000 -0.86277 1.97598 -1.37248 -0.42341 1.85145 -1.67098 0.03878 1.62710 -1.87939 0.49888 1.31504 -1.98648 0.93209 0.00000 -2.00000 -0.93209 1.98648 -1.31504 -0.49888 1.87939 -1.62710 -0.03878 1.67098 -1.85145 0.42341 1.37248 -1.97598 0.86277 1.00000 -1.99399 1.25562 0.57361 -1.90450 1.58079 0.11629 -1.71233 1.82073 -0.34730 -1.42786 1.96251 -0.79216 -1.06641 1.99850 -1.19432 -0.64747 1.92674 -1.53209 -0.19362 1.75112 -1.78727 0.27066 1.48109 -1.94609 0.72036 1.13121 0.00000 ... ... ..... ....... ......... ........... ............. E29u 2.00000 -1.25562 -0.42341 1.78727 -1.82073 0.49888 1.19432 -1.99850 1.31504 0.34730 -1.75112 1.85145 -0.57361 -1.13121 1.99399 -1.37248 -0.27066 1.71233 -1.87939 0.64747 1.06641 -1.98648 1.42786 0.19362 -1.67098 1.90450 -0.72036 -1.00000 1.97598 -1.48109 -0.11629 1.62710 -1.92674 0.79216 0.93209 -1.96251 1.53209 0.03878 -1.58079 1.94609 -0.86277 0.00000 -2.00000 0.86277 -1.94609 1.58079 -0.03878 -1.53209 1.96251 -0.93209 -0.79216 1.92674 -1.62710 0.11629 1.48109 -1.97598 1.00000 0.72036 -1.90450 1.67098 -0.19362 -1.42786 1.98648 -1.06641 -0.64747 1.87939 -1.71233 0.27066 1.37248 -1.99399 1.13121 0.57361 -1.85145 1.75112 -0.34730 -1.31504 1.99850 -1.19432 -0.49888 1.82073 -1.78727 0.42341 1.25562 0.00000 ... ... ..... ....... ......... ........... ............. E30u 2.00000 -1.37248 -0.11629 1.53209 -1.98648 1.19432 0.34730 -1.67098 1.94609 -1.00000 -0.57361 1.78727 -1.87939 0.79216 0.79216 -1.87939 1.78727 -0.57361 -1.00000 1.94609 -1.67098 0.34730 1.19432 -1.98648 1.53209 -0.11629 -1.37248 2.00000 -1.37248 -0.11629 1.53209 -1.98648 1.19432 0.34730 -1.67098 1.94609 -1.00000 -0.57361 1.78727 -1.87939 0.79216 0.00000 -2.00000 -0.79216 1.87939 -1.78727 0.57361 1.00000 -1.94609 1.67098 -0.34730 -1.19432 1.98648 -1.53209 0.11629 1.37248 -2.00000 1.37248 0.11629 -1.53209 1.98648 -1.19432 -0.34730 1.67098 -1.94609 1.00000 0.57361 -1.78727 1.87939 -0.79216 -0.79216 1.87939 -1.78727 0.57361 1.00000 -1.94609 1.67098 -0.34730 -1.19432 1.98648 -1.53209 0.11629 1.37248 0.00000 ... ... ..... ....... ......... ........... ............. E31u 2.00000 -1.48109 0.19362 1.19432 -1.96251 1.71233 -0.57361 -0.86277 1.85145 -1.87939 0.93209 0.49888 -1.67098 1.97598 -1.25562 -0.11629 1.42786 -1.99850 1.53209 -0.27066 -1.13121 1.94609 -1.75112 0.64747 0.79216 -1.82073 1.90450 -1.00000 -0.42341 1.62710 -1.98648 1.31504 0.03878 -1.37248 1.99399 -1.58079 0.34730 1.06641 -1.92674 1.78727 -0.72036 0.00000 -2.00000 0.72036 -1.78727 1.92674 -1.06641 -0.34730 1.58079 -1.99399 1.37248 -0.03878 -1.31504 1.98648 -1.62710 0.42341 1.00000 -1.90450 1.82073 -0.79216 -0.64747 1.75112 -1.94609 1.13121 0.27066 -1.53209 1.99850 -1.42786 0.11629 1.25562 -1.97598 1.67098 -0.49888 -0.93209 1.87939 -1.85145 0.86277 0.57361 -1.71233 1.96251 -1.19432 -0.19362 1.48109 0.00000 ... ... ..... ....... ......... ........... ............. E32u 2.00000 -1.58079 0.49888 0.79216 -1.75112 1.97598 -1.37248 0.19362 1.06641 -1.87939 1.90450 -1.13121 -0.11629 1.31504 -1.96251 1.78727 -0.86277 -0.42341 1.53209 -1.99850 1.62710 -0.57361 -0.72036 1.71233 -1.98648 1.42786 -0.27066 -1.00000 1.85145 -1.92674 1.19432 0.03878 -1.25562 1.94609 -1.82073 0.93209 0.34730 -1.48109 1.99399 -1.67098 0.64747 0.00000 -2.00000 -0.64747 1.67098 -1.99399 1.48109 -0.34730 -0.93209 1.82073 -1.94609 1.25562 -0.03878 -1.19432 1.92674 -1.85145 1.00000 0.27066 -1.42786 1.98648 -1.71233 0.72036 0.57361 -1.62710 1.99850 -1.53209 0.42341 0.86277 -1.78727 1.96251 -1.31504 0.11629 1.13121 -1.90450 1.87939 -1.06641 -0.19362 1.37248 -1.97598 1.75112 -0.79216 -0.49888 1.58079 0.00000 ... ... ..... ....... ......... ........... ............. E33u 2.00000 -1.67098 0.79216 0.34730 -1.37248 1.94609 -1.87939 1.19432 -0.11629 -1.00000 1.78727 -1.98648 1.53209 -0.57361 -0.57361 1.53209 -1.98648 1.78727 -1.00000 -0.11629 1.19432 -1.87939 1.94609 -1.37248 0.34730 0.79216 -1.67098 2.00000 -1.67098 0.79216 0.34730 -1.37248 1.94609 -1.87939 1.19432 -0.11629 -1.00000 1.78727 -1.98648 1.53209 -0.57361 0.00000 -2.00000 0.57361 -1.53209 1.98648 -1.78727 1.00000 0.11629 -1.19432 1.87939 -1.94609 1.37248 -0.34730 -0.79216 1.67098 -2.00000 1.67098 -0.79216 -0.34730 1.37248 -1.94609 1.87939 -1.19432 0.11629 1.00000 -1.78727 1.98648 -1.53209 0.57361 0.57361 -1.53209 1.98648 -1.78727 1.00000 0.11629 -1.19432 1.87939 -1.94609 1.37248 -0.34730 -0.79216 1.67098 0.00000 ... ... ..... ....... ......... ........... ............. E34u 2.00000 -1.75112 1.06641 -0.11629 -0.86277 1.62710 -1.98648 1.85145 -1.25562 0.34730 0.64747 -1.48109 1.94609 -1.92674 1.42786 -0.57361 -0.42341 1.31504 -1.87939 1.97598 -1.58079 0.79216 0.19362 -1.13121 1.78727 -1.99850 1.71233 -1.00000 0.03878 0.93209 -1.67098 1.99399 -1.82073 1.19432 -0.27066 -0.72036 1.53209 -1.96251 1.90450 -1.37248 0.49888 0.00000 -2.00000 -0.49888 1.37248 -1.90450 1.96251 -1.53209 0.72036 0.27066 -1.19432 1.82073 -1.99399 1.67098 -0.93209 -0.03878 1.00000 -1.71233 1.99850 -1.78727 1.13121 -0.19362 -0.79216 1.58079 -1.97598 1.87939 -1.31504 0.42341 0.57361 -1.42786 1.92674 -1.94609 1.48109 -0.64747 -0.34730 1.25562 -1.85145 1.98648 -1.62710 0.86277 0.11629 -1.06641 1.75112 0.00000 ... ... ..... ....... ......... ........... ............. E35u 2.00000 -1.82073 1.31504 -0.57361 -0.27066 1.06641 -1.67098 1.97598 -1.92674 1.53209 -0.86277 0.03878 0.79216 -1.48109 1.90450 -1.98648 1.71233 -1.13121 0.34730 0.49888 -1.25562 1.78727 -1.99850 1.85145 -1.37248 0.64747 0.19362 -1.00000 1.62710 -1.96251 1.94609 -1.58079 0.93209 -0.11629 -0.72036 1.42786 -1.87939 1.99399 -1.75112 1.19432 -0.42341 0.00000 -2.00000 0.42341 -1.19432 1.75112 -1.99399 1.87939 -1.42786 0.72036 0.11629 -0.93209 1.58079 -1.94609 1.96251 -1.62710 1.00000 -0.19362 -0.64747 1.37248 -1.85145 1.99850 -1.78727 1.25562 -0.49888 -0.34730 1.13121 -1.71233 1.98648 -1.90450 1.48109 -0.79216 -0.03878 0.86277 -1.53209 1.92674 -1.97598 1.67098 -1.06641 0.27066 0.57361 -1.31504 1.82073 0.00000 ... ... ..... ....... ......... ........... ............. E36u 2.00000 -1.87939 1.53209 -1.00000 0.34730 0.34730 -1.00000 1.53209 -1.87939 2.00000 -1.87939 1.53209 -1.00000 0.34730 0.34730 -1.00000 1.53209 -1.87939 2.00000 -1.87939 1.53209 -1.00000 0.34730 0.34730 -1.00000 1.53209 -1.87939 2.00000 -1.87939 1.53209 -1.00000 0.34730 0.34730 -1.00000 1.53209 -1.87939 2.00000 -1.87939 1.53209 -1.00000 0.34730 0.00000 -2.00000 -0.34730 1.00000 -1.53209 1.87939 -2.00000 1.87939 -1.53209 1.00000 -0.34730 -0.34730 1.00000 -1.53209 1.87939 -2.00000 1.87939 -1.53209 1.00000 -0.34730 -0.34730 1.00000 -1.53209 1.87939 -2.00000 1.87939 -1.53209 1.00000 -0.34730 -0.34730 1.00000 -1.53209 1.87939 -2.00000 1.87939 -1.53209 1.00000 -0.34730 -0.34730 1.00000 -1.53209 1.87939 0.00000 ... ... ..... ....... ......... ........... ............. E37u 2.00000 -1.92674 1.71233 -1.37248 0.93209 -0.42341 -0.11629 0.64747 -1.13121 1.53209 -1.82073 1.97598 -1.98648 1.85145 -1.58079 1.19432 -0.72036 0.19362 0.34730 -0.86277 1.31504 -1.67098 1.90450 -1.99850 1.94609 -1.75112 1.42786 -1.00000 0.49888 0.03878 -0.57361 1.06641 -1.48109 1.78727 -1.96251 1.99399 -1.87939 1.62710 -1.25562 0.79216 -0.27066 0.00000 -2.00000 0.27066 -0.79216 1.25562 -1.62710 1.87939 -1.99399 1.96251 -1.78727 1.48109 -1.06641 0.57361 -0.03878 -0.49888 1.00000 -1.42786 1.75112 -1.94609 1.99850 -1.90450 1.67098 -1.31504 0.86277 -0.34730 -0.19362 0.72036 -1.19432 1.58079 -1.85145 1.98648 -1.97598 1.82073 -1.53209 1.13121 -0.64747 0.11629 0.42341 -0.93209 1.37248 -1.71233 1.92674 0.00000 ... ... ..... ....... ......... ........... ............. E38u 2.00000 -1.96251 1.85145 -1.67098 1.42786 -1.13121 0.79216 -0.42341 0.03878 0.34730 -0.72036 1.06641 -1.37248 1.62710 -1.82073 1.94609 -1.99850 1.97598 -1.87939 1.71233 -1.48109 1.19432 -0.86277 0.49888 -0.11629 -0.27066 0.64747 -1.00000 1.31504 -1.58079 1.78727 -1.92674 1.99399 -1.98648 1.90450 -1.75112 1.53209 -1.25562 0.93209 -0.57361 0.19362 0.00000 -2.00000 -0.19362 0.57361 -0.93209 1.25562 -1.53209 1.75112 -1.90450 1.98648 -1.99399 1.92674 -1.78727 1.58079 -1.31504 1.00000 -0.64747 0.27066 0.11629 -0.49888 0.86277 -1.19432 1.48109 -1.71233 1.87939 -1.97598 1.99850 -1.94609 1.82073 -1.62710 1.37248 -1.06641 0.72036 -0.34730 -0.03878 0.42341 -0.79216 1.13121 -1.42786 1.67098 -1.85145 1.96251 0.00000 ... ... ..... ....... ......... ........... ............. E39u 2.00000 -1.98648 1.94609 -1.87939 1.78727 -1.67098 1.53209 -1.37248 1.19432 -1.00000 0.79216 -0.57361 0.34730 -0.11629 -0.11629 0.34730 -0.57361 0.79216 -1.00000 1.19432 -1.37248 1.53209 -1.67098 1.78727 -1.87939 1.94609 -1.98648 2.00000 -1.98648 1.94609 -1.87939 1.78727 -1.67098 1.53209 -1.37248 1.19432 -1.00000 0.79216 -0.57361 0.34730 -0.11629 0.00000 -2.00000 0.11629 -0.34730 0.57361 -0.79216 1.00000 -1.19432 1.37248 -1.53209 1.67098 -1.78727 1.87939 -1.94609 1.98648 -2.00000 1.98648 -1.94609 1.87939 -1.78727 1.67098 -1.53209 1.37248 -1.19432 1.00000 -0.79216 0.57361 -0.34730 0.11629 0.11629 -0.34730 0.57361 -0.79216 1.00000 -1.19432 1.37248 -1.53209 1.67098 -1.78727 1.87939 -1.94609 1.98648 0.00000 ... ... ..... ....... ......... ........... ............. E40u 2.00000 -1.99850 1.99399 -1.98648 1.97598 -1.96251 1.94609 -1.92674 1.90450 -1.87939 1.85145 -1.82073 1.78727 -1.75112 1.71233 -1.67098 1.62710 -1.58079 1.53209 -1.48109 1.42786 -1.37248 1.31504 -1.25562 1.19432 -1.13121 1.06641 -1.00000 0.93209 -0.86277 0.79216 -0.72036 0.64747 -0.57361 0.49888 -0.42341 0.34730 -0.27066 0.19362 -0.11629 0.03878 0.00000 -2.00000 -0.03878 0.11629 -0.19362 0.27066 -0.34730 0.42341 -0.49888 0.57361 -0.64747 0.72036 -0.79216 0.86277 -0.93209 1.00000 -1.06641 1.13121 -1.19432 1.25562 -1.31504 1.37248 -1.42786 1.48109 -1.53209 1.58079 -1.62710 1.67098 -1.71233 1.75112 -1.78727 1.82073 -1.85145 1.87939 -1.90450 1.92674 -1.94609 1.96251 -1.97598 1.98648 -1.99399 1.99850 0.00000 ... ... ..... ....... ......... ........... ............. Irrational character values: 1.998495905008 = 2*cos(2*π/162) = 2*cos(π/81) 1.993985882336 = 2*cos(4*π/162) = 2*cos(2*π/81) 1.986476715484 = 2*cos(6*π/162) = 2*cos(π/27) 1.975979698954 = 2*cos(8*π/162) = 2*cos(4*π/81) 1.962510621255 = 2*cos(10*π/162) = 2*cos(5*π/81) 1.946089741160 = 2*cos(12*π/162) = 2*cos(2*π/27) 1.926741757232 = 2*cos(14*π/162) = 2*cos(7*π/81) 1.904495770677 = 2*cos(16*π/162) = 2*cos(8*π/81) 1.879385241572 = 2*cos(18*π/162) = 2*cos(π/9) 1.851447938538 = 2*cos(20*π/162) = 2*cos(10*π/81) 1.820725881932 = 2*cos(22*π/162) = 2*cos(11*π/81) 1.787265280647 = 2*cos(24*π/162) = 2*cos(4*π/27) 1.751116462604 = 2*cos(26*π/162) = 2*cos(13*π/81) 1.712333799061 = 2*cos(28*π/162) = 2*cos(14*π/81) 1.670975622826 = 2*cos(30*π/162) = 2*cos(5*π/27) 1.627104140526 = 2*cos(32*π/162) = 2*cos(16*π/81) 1.580785339038 = 2*cos(34*π/162) = 2*cos(17*π/81) 1.532088886238 = 2*cos(36*π/162) = 2*cos(2*π/9) 1.481088026218 = 2*cos(38*π/162) = 2*cos(19*π/81) 1.427859469116 = 2*cos(40*π/162) = 2*cos(20*π/81) 1.372483275737 = 2*cos(42*π/162) = 2*cos(7*π/27) 1.315042737138 = 2*cos(44*π/162) = 2*cos(22*π/81) 1.255624249344 = 2*cos(46*π/162) = 2*cos(23*π/81) 1.194317183406 = 2*cos(48*π/162) = 2*cos(8*π/27) 1.131213750973 = 2*cos(50*π/162) = 2*cos(25*π/81) 1.066408865603 = 2*cos(52*π/162) = 2*cos(26*π/81) 0.932087039405 = 2*cos(56*π/162) = 2*cos(28*π/81) 0.862772131363 = 2*cos(58*π/162) = 2*cos(29*π/81) 0.792159532078 = 2*cos(60*π/162) = 2*cos(10*π/27) 0.720355449609 = 2*cos(62*π/162) = 2*cos(31*π/81) 0.647467884117 = 2*cos(64*π/162) = 2*cos(32*π/81) 0.573606465422 = 2*cos(66*π/162) = 2*cos(11*π/27) 0.498882288116 = 2*cos(68*π/162) = 2*cos(34*π/81) 0.423407744459 = 2*cos(70*π/162) = 2*cos(35*π/81) 0.347296355334 = 2*cos(72*π/162) = 2*cos(4*π/9) 0.270662599500 = 2*cos(74*π/162) = 2*cos(37*π/81) 0.193621741406 = 2*cos(76*π/162) = 2*cos(38*π/81) 0.116289657821 = 2*cos(78*π/162) = 2*cos(13*π/27) 0.038782663544 = 2*cos(80*π/162) = 2*cos(40*π/81) Symmetry of Rotations and Cartesian products A1g d+g+i+k+m z², z⁴, z⁶ A2g R R_z E1g R+d+g+i+k+m {R_x, R_y}, {xz, yz}, {xz³, yz³}, {xz⁵, yz⁵} E2g d+g+i+k+m {x²−y², xy}, {z²(x²−y²), xyz²}, {z⁴(x²−y²), xyz⁴} E3g g+i+k+m {xz(x²−3y²), yz(3x²−y²)}, {xz³(x²−3y²), yz³(3x²−y²)} E4g g+i+k+m {(x²−y²)²−4x²y², xy(x²−y²)}, {z²((x²−y²)²−4x²y²), xyz²(x²−y²)} E5g i+k+m {xz(x²−(5+2√5)y²)(x²−(5−2√5)y²), yz((5+2√5)x²−y²)((5−2√5)x²−y²)} E6g i+k+m {x²(x²−3y²)²−y²(3x²−y²)², xy(x²−3y²)(3x²−y²)} E7g k+m E8g k+m E9g m E10g m A2u p+f+h+j+l z, z³, z⁵ E1u p+f+h+j+l {x, y}, {xz², yz²}, {xz⁴, yz⁴} E2u f+h+j+l {z(x²−y²), xyz}, {z³(x²−y²), xyz³} E3u f+h+j+l {x(x²−3y²), y(3x²−y²)}, {xz²(x²−3y²), yz²(3x²−y²)} E4u h+j+l {z((x²−y²)²−4x²y²), xyz(x²−y²)} E5u h+j+l {x(x²−(5+2√5)y²)(x²−(5−2√5)y²), y((5+2√5)x²−y²)((5−2√5)x²−y²)} E6u j+l E7u j+l E8u l E9u l Notes: α The order of the D_81d point group is 324, and the order of the principal axis (S₁₆₂) is 162. The group has 84 irreducible representations. β The D_81d point group is isomorphic to D_81h, C_162v and D₁₆₂. γ The D_81d point group is generated by two symmetry elements, S₁₆₂ and either a perpendicular C₂^′ or a vertical σ_d. Also, the group may be generated from a C₂^′ plus a σ_d (some pairs will yield smaller groups, though; choosing a minimum angle is safe). The canonical choice, however, is to use redundant generators: C₈₁, C₂^′ and i. δ The group contains one set of C₂^′ symmetry axes perpendicular to the principal (z) axis. The x axis (but not the y axis) is a member of that set. Reversely, the single set of symmetry planes denoted σ_d contains the yz plane but not the xz plane. ε The lowest nonvanishing multipole moment in D_81d is 4 (quadrupole moment). ζ This point group is non-Abelian (some symmetry operations are not commutative). Therefore, the character table contains multi-membered classes and degenerate irreducible representations. η Some of the characters in the table are irrational because the order of the principal axis is neither 1,2,3,4 nor 6. These irrational values can be expressed as cosine values, or as solutions of algebraic equations with a leading coefficient of 1. All characters are algebraic integers of a degree much less than half the order of the principal axis. θ The point group corresponds to a polygon inconstructible by the classical means of ruler and compass. Yet it becomes constructible if angle trisection is allowed, e.g., with neusis construction or origami. This is because the order of the principal axis is given by a product of any number of different Pierpont primes (...,5,7,13,17,19,37,73,97,109,163,...) times arbitrary powers of two and three. All characters of this group can be expressed using complex numbers, elementary arithmetic operations, square roots and third roots.

This Character Table for the D_81d point group was created by Gernot Katzer.

For other groups and some explanations, see the Main Page.

	D_79d
	D_80d
C₈₁ C_81v C_81h D₈₁ D_81h	D_81d
	D_82d
	D_83d

Character table for the D81d point group

Character table for the D_81d point group